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Finding the Fourth Proportional to 137,267.26, 205,894.80 and 37,427.50

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Solution

The fourth proportional to 137,267.26, 205,894.80 and 37,427.50 is: 56,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,267.26 : 205,894.80 = 37,427.50 : x
  2. Step 2: Convert to fraction form
    137,267.26/205,894.80 = 37,427.50/x
  3. Step 3: Cross multiply
    137,267.26x = 205,894.80 × 37,427.50
  4. Step 4: Simplify right side
    137,267.26x = 7,706,127,627
  5. Step 5: Solve for x
    x = 7,706,127,627/137,267.26
  6. Step 6: Final answer
    x = 56,139.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.